What are the solutions to the equation x^3-8i=0 ?

The solutions to the equation x^3-8i=0 are x=sqrt(3)+i,x=-sqrt(3)+i,x=-2i

Find the zeros of x^3-8i=0

The zeros of x^3-8i=0 are x=sqrt(3)+i,x=-sqrt(3)+i,x=-2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{3} - 8 i = 0

x = 3 + i, x = - 3 + i, x = - 2 i

Solution steps

x^{3} - 8 i = 0

Move

8 i

to the right side

x^{3} = 8 i

For

z^{n} = a

the solutions are

k = 0, 1, \dots, n - 1

For

n = 3, a = 8 i

∣ a ∣ = 8

ar g (a) = \frac{π}{2}

Simplify

x = 3 + i, x = - 3 + i, x = - 2 i

x^{6} - 6 x^{4} + 8 x^{2} = 0

y^{4} - 5 y^{2} + 6 = 0

x^{3} - 2 x^{2} - 4 x = - 8

x^{3} - 9 x^{2} + 15 x - 7 = 0

5 + x^{4} = 1

What are the solutions to the equation x^3-8i=0 ?
The solutions to the equation x^3-8i=0 are x=sqrt(3)+i,x=-sqrt(3)+i,x=-2i
Find the zeros of x^3-8i=0
The zeros of x^3-8i=0 are x=sqrt(3)+i,x=-sqrt(3)+i,x=-2i